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QuasiStatic IM Slip Ring

Induction machine with slip ring rotor

Description

The QuasiStatic IM Slip Ring component models a multiphase induction machine with a slip-ring rotor.

The resistances and stray inductances of the machine always refer to either stator or rotor.  The symmetry of the stator, rotor and supply is assumed. The number of stator and rotor phases may be different.

The following losses are modeled:

 • heat losses in the temperature dependent stator winding resistances
 • heat losses in the temperature dependent rotor winding resistances
 • friction losses
 • core losses (only eddy current losses, no hysteresis losses)
 • stray load losses

Connections

 Name Description Modelica ID $\mathrm{powerBalance}$ Power balance powerBalance $\mathrm{flange}$ Shaft flange $\mathrm{support}$ Support at which the reaction torque is acting support ${\mathrm{plug}}_{\mathrm{sp}}$ Positive plug of stator plug_sp ${\mathrm{plug}}_{\mathrm{sn}}$ Negative plug of stator plug_sn ${\mathrm{plug}}_{\mathrm{rn}}$ Negative plug of rotor plug_rn ${\mathrm{plug}}_{\mathrm{rp}}$ Positive plug of rotor plug_rp $\mathrm{thermalPort}$ Thermal port of induction machines thermalPort

Parameters

General Parameters

 Name Default Units Description Modelica ID $m$ $3$ Number of stator phases m ${m}_{r}$ $m$ Number of rotor phases mr ${J}_{r}$ $0.29$ $\mathrm{kg}{m}^{2}$ Rotor moment of inertia Jr ${J}_{s}$ ${J}_{r}$ $\mathrm{kg}{m}^{2}$ Stator moment of inertia Js $p$ $2$ Number of pole pairs (Integer) p ${f}_{s,\mathrm{nom}}$ $50$ $\mathrm{Hz}$ Nominal frequency fsNominal ${T}_{s,\mathrm{oper}}$ $293.15$ $K$ Operational temperature of stator resistance TsOperational ${T}_{r,\mathrm{oper}}$ $293.15$ $K$ Operational temperature of rotor resistance TrOperational Use Support Flange $\mathrm{false}$ True (checked) means enable stator support flange useSupport Effective Stator Turns $1$ Effective number of stator turns effectiveStatorTurns Use Thermal Port $\mathrm{false}$ True (checked) means thermal port is enabled useThermalPort Use Turns Ratio $\mathrm{true}$ Use TurnsRatio or calculate from locked-rotor voltage? useTurnsRatio Turns Ratio $1$ Effective number of stator turns / effective number of rotor turns TurnsRatio ${V}_{s,\mathrm{nom}}$ $100$ $V$ Nominal stator voltage per phase VsNominal ${V}_{r,\mathrm{locked}}$ $V$ Locked rotor voltage per phase VrLockedRotor ${L}_{r,0}$ $H$ Lrzero ${L}_{s,0}$ $H$ Lszero

Friction Losses

 Name Default Units Description Modelica ID ${P}_{\mathrm{ref}}$ $0$ $W$ Reference friction losses PRef ${\omega }_{\mathrm{ref}}$ ${\omega }_{\mathrm{nom}}$ $\frac{\mathrm{rad}}{s}$ Reference angular velocity wRef ${p}_{\omega }$ $2$ $V$ Exponent of friction power_w

 • See Friction for details of the friction loss model.

Rotor Core Losses

 Name Default Units Description Modelica ID ${P}_{\mathrm{ref}}$ $0$ $W$ Reference rotor core losses PRef ${V}_{\mathrm{ref}}$ $1$ $V$ Reference RMS voltage VRef ${\omega }_{\mathrm{ref}}$ $1$ $\frac{\mathrm{rad}}{s}$ Reference angular velocity wRef

 • See Core for details of the core loss model.

Stator Core Losses

 Name Default Units Description Modelica ID ${P}_{\mathrm{ref}}$ $0$ $W$ Reference rotor core losses PRef ${V}_{\mathrm{ref}}$ $V$ Reference RMS voltage VRef ${\omega }_{\mathrm{ref}}$ $2\pi {f}_{s,\mathrm{nom}}$ $\frac{\mathrm{rad}}{s}$ Reference angular velocity wRef

 • See Core for details of the core loss model.

 Name Default Units Description Modelica ID ${I}_{\mathrm{ref}}$ ${I}_{{a}_{\mathrm{nom}}}$ $W$ Reference RMS current IRef ${P}_{\mathrm{ref}}$ $0$ $W$ Reference friction losses PRef ${\omega }_{\mathrm{ref}}$ ${\omega }_{\mathrm{nom}}$ $\frac{\mathrm{rad}}{s}$ Reference angular velocity wRef ${p}_{\omega }$ $1$ $V$ Exponent of stray load loss power_w
 Name Default Units Description Modelica ID ${\mathrm{\alpha }}_{r}$ $0$ $\frac{1}{K}$ Temperature coefficient of rotor resistance at 20 degC alpha20r ${\mathrm{\alpha }}_{s}$ $0$ $\frac{1}{K}$ Temperature coefficient of stator resistance at 20 degC alpha20s ${L}_{m}$ $H$ Main field inductance Lm ${L}_{r\sigma }$ $H$ Rotor stray inductance per phase Lrsigma ${L}_{s\sigma }$ $H$ Stator stray inductance per phase Lssigma ${R}_{r}$ $0.04$ $\mathrm{\Omega }$ Warm rotor resistance per phase Rr ${R}_{s}$ $0.03$ $\mathrm{\Omega }$ Warm stator resistance per phase Rs ${T}_{r,\mathrm{ref}}$ $293.15$ $K$ Reference temperature of rotor resistance TrRef ${T}_{s,\mathrm{ref}}$ $293.15$ $K$ Reference temperature of stator resistance TsRef